
4x = 10 / (1 7/8) * (x = 1 1/3) Решите пожалуйста


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To solve the equation 4x = 10 / (1 + 7/8) * (x = 1 + 1/3), we can follow these steps:
1. Simplify the expression on the right side of the equation: - 10 / (1 + 7/8) = 10 / (15/8) = 10 * (8/15) = 80/15
2. Substitute the simplified expression back into the equation: - 4x = 80/15 * (x = 1 + 1/3)
3. Distribute the fraction on the right side of the equation: - 4x = (80/15) * x + (80/15) * (1 + 1/3)
4. Simplify the expression on the right side of the equation: - (80/15) * (1 + 1/3) = (80/15) * (4/3) = 320/45
5. Substitute the simplified expression back into the equation: - 4x = (80/15) * x + 320/45
6. To isolate the variable x, we need to move the term with x to one side of the equation and the constant term to the other side. Let's subtract (80/15) * x from both sides: - 4x - (80/15) * x = 320/45
7. Combine like terms on the left side of the equation: - (4 - 80/15) * x = 320/45
8. Simplify the expression on the left side of the equation: - (4 - 80/15) = (60/15 - 80/15) = -20/15 = -4/3
9. Substitute the simplified expression back into the equation: - (-4/3) * x = 320/45
10. To solve for x, we need to isolate x. Let's divide both sides of the equation by (-4/3): - x = (320/45) / (-4/3)
11. Simplify the expression on the right side of the equation: - (320/45) / (-4/3) = (320/45) * (-3/4) = -960/180 = -16/3
Therefore, the solution to the equation 4x = 10 / (1 + 7/8) * (x = 1 + 1/3) is x = -16/3.
Please note that this solution is based on the given equation and the steps followed to solve it.


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